Abstract
We revise the SU(3)-invariant sector of \( \mathcal{N} \) = 8 supergravity with dyonic SO(8) gaugings. By using the embedding tensor formalism, analytic expressions for the scalar potential, superpotential(s) and fermion mass terms are obtained as a function of the electromagnetic phase ω and the scalars in the theory. Equipped with these results, we explore non-supersymmetric AdS critical points at ω ≠ 0 for which perturbative stability could not be analysed before. The ω-dependent superpotential is then used to derive first-order flow equations and obtain new BPS domain-wall solutions at ω ≠ 0. We numerically look at steepest-descent paths motivated by the (conjectured) RG flows.
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Guarino, A. On new maximal supergravity and its BPS domain-walls. J. High Energ. Phys. 2014, 26 (2014). https://doi.org/10.1007/JHEP02(2014)026
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DOI: https://doi.org/10.1007/JHEP02(2014)026